{
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Stock Features Selections Example Tutorial"
      ],
      "metadata": {}
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "\n",
        "import warnings\n",
        "warnings.filterwarnings(\"ignore\")\n",
        "\n",
        "# yahoo finance is used to fetch data \n",
        "import yfinance as yf\n",
        "yf.pdr_override()"
      ],
      "outputs": [],
      "execution_count": 1,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "symbols = ['AMD', 'MSFT', 'GE', 'GS', 'AAPL', 'DIS', 'PBR', 'VALE', 'GLD', 'MU']\n",
        "\n",
        "start = '2017-01-01'\n",
        "end = '2017-12-31'"
      ],
      "outputs": [],
      "execution_count": 2,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def get_symbols(symbols, start=None,end=None):\n",
        "    out = pd.DataFrame()\n",
        "    for symbol in symbols:\n",
        "        df = yf.download(symbol,start, end)[['Open','High','Low','Adj Close','Volume']].reset_index()\n",
        "        df.columns = ['Date','Open','High','Low','Close','Volume'] #my convention: always lowercase\n",
        "        df['Symbol'] = symbol # add a new column which contains the symbol so we can keep multiple symbols in the same dataframe\n",
        "        df = df.set_index(['Date','Symbol'])\n",
        "        out = pd.concat([out,df],axis=0) #stacks on top of previously collected data\n",
        "    return out.sort_index()"
      ],
      "outputs": [],
      "execution_count": 5,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "prices = get_symbols(symbols,start, end)\n",
        "\n",
        "prices.sort_index().tail()"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n",
            "[*********************100%***********************]  1 of 1 downloaded\n"
          ]
        },
        {
          "output_type": "execute_result",
          "execution_count": 6,
          "data": {
            "text/plain": "                         Open        High         Low       Close    Volume\nDate       Symbol                                                          \n2017-12-29 GS      255.869995  256.649994  252.910004  252.316071   2519300\n           MSFT     85.629997   86.050003   85.500000   84.447639  18717400\n           MU       41.820000   41.840000   40.770000   41.119999  44536700\n           PBR      10.240000   10.340000   10.220000   10.248709   9124900\n           VALE     12.110000   12.300000   12.070000   11.750780  13083500",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th></th>\n      <th>Open</th>\n      <th>High</th>\n      <th>Low</th>\n      <th>Close</th>\n      <th>Volume</th>\n    </tr>\n    <tr>\n      <th>Date</th>\n      <th>Symbol</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th rowspan=\"5\" valign=\"top\">2017-12-29</th>\n      <th>GS</th>\n      <td>255.869995</td>\n      <td>256.649994</td>\n      <td>252.910004</td>\n      <td>252.316071</td>\n      <td>2519300</td>\n    </tr>\n    <tr>\n      <th>MSFT</th>\n      <td>85.629997</td>\n      <td>86.050003</td>\n      <td>85.500000</td>\n      <td>84.447639</td>\n      <td>18717400</td>\n    </tr>\n    <tr>\n      <th>MU</th>\n      <td>41.820000</td>\n      <td>41.840000</td>\n      <td>40.770000</td>\n      <td>41.119999</td>\n      <td>44536700</td>\n    </tr>\n    <tr>\n      <th>PBR</th>\n      <td>10.240000</td>\n      <td>10.340000</td>\n      <td>10.220000</td>\n      <td>10.248709</td>\n      <td>9124900</td>\n    </tr>\n    <tr>\n      <th>VALE</th>\n      <td>12.110000</td>\n      <td>12.300000</td>\n      <td>12.070000</td>\n      <td>11.750780</td>\n      <td>13083500</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ],
      "execution_count": 6,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "outcomes = pd.DataFrame(index=prices.index)\n",
        "# next day's opening change\n",
        "outcomes['close_1'] = prices.groupby(level='Symbol').Close.pct_change(-1) # next day's returns\n",
        "outcomes['close_5'] = prices.groupby(level='Symbol').Close.pct_change(-5) # next week's returns\n",
        "outcomes['close_10'] = prices.groupby(level='Symbol').Close.pct_change(-10) # next two weeks' returns\n",
        "outcomes['close_20'] = prices.groupby(level='Symbol').Close.pct_change(-20) # next month's (approx) returns\n",
        "lastancientone@gmail.com\n",
        "outcomes.tail()"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 8,
          "data": {
            "text/plain": "                    close_1  close_5  close_10  close_20\nDate       Symbol                                       \n2017-12-29 GS      1.987840      NaN       NaN       NaN\n           MSFT    1.053688      NaN       NaN       NaN\n           MU      3.012213      NaN       NaN       NaN\n           PBR    -0.127827      NaN       NaN       NaN\n           VALE         NaN      NaN       NaN       NaN",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th></th>\n      <th>close_1</th>\n      <th>close_5</th>\n      <th>close_10</th>\n      <th>close_20</th>\n    </tr>\n    <tr>\n      <th>Date</th>\n      <th>Symbol</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th rowspan=\"5\" valign=\"top\">2017-12-29</th>\n      <th>GS</th>\n      <td>1.987840</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>MSFT</th>\n      <td>1.053688</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>MU</th>\n      <td>3.012213</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>PBR</th>\n      <td>-0.127827</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>VALE</th>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ],
      "execution_count": 8,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "num_obs = prices.Close.count()\n",
        "factor_1 = pd.Series(np.random.randn(num_obs),index=prices.index)\n",
        "factor_2 = pd.Series(np.random.randn(num_obs),index=prices.index)\n",
        "factor_3 = pd.Series(np.random.randn(num_obs),index=prices.index)\n",
        "outcome = 1.*factor_1 + 2.*factor_2 + 3.*factor_3 + 5.*np.random.randn(num_obs)\n",
        "outcome.name = 'outcome'\n",
        "outcome.tail()"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 9,
          "data": {
            "text/plain": "Date        Symbol\n2017-12-29  GS        0.780605\n            MSFT     -8.948705\n            MU        3.096537\n            PBR      -1.993213\n            VALE     -3.574255\nName: outcome, dtype: float64"
          },
          "metadata": {}
        }
      ],
      "execution_count": 9,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "features = pd.DataFrame(index=outcome.index)\n",
        "features['f11'] = 0.2*factor_1 + 0.8*np.random.randn(num_obs)\n",
        "features['f12'] = 0.4*factor_1 + 0.6*np.random.randn(num_obs)\n",
        "features['f13'] = 0.6*factor_1 + 0.4*np.random.randn(num_obs)\n",
        "\n",
        "features['f21'] = 0.2*factor_2 + 0.8*np.random.randn(num_obs)\n",
        "features['f22'] = 0.4*factor_2 + 0.8*np.random.randn(num_obs)\n",
        "features['f23'] = 0.6*factor_2 + 0.4*np.random.randn(num_obs)\n",
        "\n",
        "features['f31'] = 0.2*factor_3 + 0.8*np.random.randn(num_obs)\n",
        "features['f32'] = 0.4*factor_3 + 0.6*np.random.randn(num_obs)\n",
        "features['f33'] = 0.6*factor_3 + 0.4*np.random.randn(num_obs)\n",
        "\n",
        "features['f41'] = 0.2*factor_1+0.2*factor_2 + 0.6*np.random.randn(num_obs)\n",
        "features['f42'] = 0.2*factor_2+0.2*factor_3 + 0.6*np.random.randn(num_obs)\n",
        "features['f43'] = 0.2*factor_3+0.2*factor_1 + 0.6*np.random.randn(num_obs)\n",
        "\n",
        "features['f51'] = np.random.randn(num_obs)\n",
        "features['f52'] = np.random.randn(num_obs)\n",
        "features['f53'] = np.random.randn(num_obs)\n",
        "\n",
        "features.tail()"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 10,
          "data": {
            "text/plain": "                        f11       f12       f13       f21       f22       f23  \\\nDate       Symbol                                                               \n2017-12-29 GS     -0.708417  1.170960 -0.272838  0.340796  0.955704  0.922428   \n           MSFT   -0.412080 -0.677584  0.402291 -0.704395 -1.419297 -0.069830   \n           MU      1.162023  0.527322  0.413659 -0.689220 -0.802603 -0.642950   \n           PBR    -0.063303  0.139136  0.466610  1.672712  0.185156 -0.225218   \n           VALE   -0.826687 -0.331924  0.298428  0.409060  0.836741 -0.508785   \n\n                        f31       f32       f33       f41       f42       f43  \\\nDate       Symbol                                                               \n2017-12-29 GS     -0.382945  0.006276  0.469611  0.893710 -0.080377 -0.571865   \n           MSFT    0.177365 -0.536390 -0.855180  1.017483 -0.737453 -0.650244   \n           MU     -0.238380 -0.056835 -0.365968 -0.575653  0.163185  0.486181   \n           PBR     1.278273  0.025657 -0.696229  0.579129  0.784083 -0.420940   \n           VALE    0.386179 -0.912035 -0.527460  1.256579  0.187861  0.399490   \n\n                        f51       f52       f53  \nDate       Symbol                                \n2017-12-29 GS      0.868766  1.300441  1.644469  \n           MSFT    1.212068  1.275506 -0.125783  \n           MU      0.087168 -2.133441 -1.476354  \n           PBR    -1.308168 -1.163237 -0.233313  \n           VALE    0.572756  1.302620  0.388087  ",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th></th>\n      <th>f11</th>\n      <th>f12</th>\n      <th>f13</th>\n      <th>f21</th>\n      <th>f22</th>\n      <th>f23</th>\n      <th>f31</th>\n      <th>f32</th>\n      <th>f33</th>\n      <th>f41</th>\n      <th>f42</th>\n      <th>f43</th>\n      <th>f51</th>\n      <th>f52</th>\n      <th>f53</th>\n    </tr>\n    <tr>\n      <th>Date</th>\n      <th>Symbol</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th rowspan=\"5\" valign=\"top\">2017-12-29</th>\n      <th>GS</th>\n      <td>-0.708417</td>\n      <td>1.170960</td>\n      <td>-0.272838</td>\n      <td>0.340796</td>\n      <td>0.955704</td>\n      <td>0.922428</td>\n      <td>-0.382945</td>\n      <td>0.006276</td>\n      <td>0.469611</td>\n      <td>0.893710</td>\n      <td>-0.080377</td>\n      <td>-0.571865</td>\n      <td>0.868766</td>\n      <td>1.300441</td>\n      <td>1.644469</td>\n    </tr>\n    <tr>\n      <th>MSFT</th>\n      <td>-0.412080</td>\n      <td>-0.677584</td>\n      <td>0.402291</td>\n      <td>-0.704395</td>\n      <td>-1.419297</td>\n      <td>-0.069830</td>\n      <td>0.177365</td>\n      <td>-0.536390</td>\n      <td>-0.855180</td>\n      <td>1.017483</td>\n      <td>-0.737453</td>\n      <td>-0.650244</td>\n      <td>1.212068</td>\n      <td>1.275506</td>\n      <td>-0.125783</td>\n    </tr>\n    <tr>\n      <th>MU</th>\n      <td>1.162023</td>\n      <td>0.527322</td>\n      <td>0.413659</td>\n      <td>-0.689220</td>\n      <td>-0.802603</td>\n      <td>-0.642950</td>\n      <td>-0.238380</td>\n      <td>-0.056835</td>\n      <td>-0.365968</td>\n      <td>-0.575653</td>\n      <td>0.163185</td>\n      <td>0.486181</td>\n      <td>0.087168</td>\n      <td>-2.133441</td>\n      <td>-1.476354</td>\n    </tr>\n    <tr>\n      <th>PBR</th>\n      <td>-0.063303</td>\n      <td>0.139136</td>\n      <td>0.466610</td>\n      <td>1.672712</td>\n      <td>0.185156</td>\n      <td>-0.225218</td>\n      <td>1.278273</td>\n      <td>0.025657</td>\n      <td>-0.696229</td>\n      <td>0.579129</td>\n      <td>0.784083</td>\n      <td>-0.420940</td>\n      <td>-1.308168</td>\n      <td>-1.163237</td>\n      <td>-0.233313</td>\n    </tr>\n    <tr>\n      <th>VALE</th>\n      <td>-0.826687</td>\n      <td>-0.331924</td>\n      <td>0.298428</td>\n      <td>0.409060</td>\n      <td>0.836741</td>\n      <td>-0.508785</td>\n      <td>0.386179</td>\n      <td>-0.912035</td>\n      <td>-0.527460</td>\n      <td>1.256579</td>\n      <td>0.187861</td>\n      <td>0.399490</td>\n      <td>0.572756</td>\n      <td>1.302620</td>\n      <td>0.388087</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ],
      "execution_count": 10,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sns\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "from IPython.display import display\n",
        "\n",
        "from scipy.cluster import hierarchy\n",
        "from scipy.spatial import distance\n",
        "\n",
        "from sklearn.preprocessing import StandardScaler,Normalizer"
      ],
      "outputs": [],
      "execution_count": 11,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#f = features.dropna() #optional - to compare apples to apples\n",
        "\n",
        "# standardize or normalize data \n",
        "std_scaler = StandardScaler()\n",
        "features_scaled = std_scaler.fit_transform(features.dropna()) \n",
        "print (features_scaled.shape)\n",
        "df = pd.DataFrame(features_scaled,index=features.dropna().index)\n",
        "df.columns = features.dropna().columns\n",
        "df.tail()\n",
        "\n",
        "# standardize outcome as well \n",
        "outcome_df = outcome.to_frame()\n",
        "outcome_scaled = std_scaler.fit_transform(outcome_df.dropna()) \n",
        "outcome_scaled = pd.DataFrame(outcome_scaled,index=outcome_df.dropna().index)\n",
        "outcome_scaled.columns = outcome_df.columns\n",
        "outcome_scaled.tail()"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(2510, 15)\n"
          ]
        },
        {
          "output_type": "execute_result",
          "execution_count": 12,
          "data": {
            "text/plain": "                    outcome\nDate       Symbol          \n2017-12-29 GS      0.138691\n           MSFT   -1.407162\n           MU      0.506661\n           PBR    -0.302030\n           VALE   -0.553236",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th></th>\n      <th>outcome</th>\n    </tr>\n    <tr>\n      <th>Date</th>\n      <th>Symbol</th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th rowspan=\"5\" valign=\"top\">2017-12-29</th>\n      <th>GS</th>\n      <td>0.138691</td>\n    </tr>\n    <tr>\n      <th>MSFT</th>\n      <td>-1.407162</td>\n    </tr>\n    <tr>\n      <th>MU</th>\n      <td>0.506661</td>\n    </tr>\n    <tr>\n      <th>PBR</th>\n      <td>-0.302030</td>\n    </tr>\n    <tr>\n      <th>VALE</th>\n      <td>-0.553236</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ],
      "execution_count": 12,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "corr = df.corrwith(outcome)\n",
        "corr.sort_values().plot.barh(color = 'blue',title = 'Strength of Correlation')"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 13,
          "data": {
            "text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x17b8c500f60>"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x288 with 1 Axes>",
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": 13,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "corr_matrix = df.corr()\n",
        "correlations_array = np.asarray(corr_matrix)\n",
        "\n",
        "linkage = hierarchy.linkage(distance.pdist(correlations_array), method='average')\n",
        "\n",
        "g = sns.clustermap(corr_matrix,row_linkage=linkage,col_linkage=linkage,row_cluster=True,\\\n",
        "                   col_cluster=True,figsize=(10,10),cmap='Greens')\n",
        "plt.setp(g.ax_heatmap.yaxis.get_majorticklabels(), rotation=0)\n",
        "plt.show()\n",
        "\n",
        "label_order = corr_matrix.iloc[:,g.dendrogram_row.reordered_ind].columns"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 720x720 with 4 Axes>",
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": 14,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "correlated_features = corr[corr>0.1].index.tolist()\n",
        "corr_matrix = df[correlated_features].corr()\n",
        "correlations_array = np.asarray(corr_matrix)\n",
        "\n",
        "linkage = hierarchy.linkage(distance.pdist(correlations_array), method='average')\n",
        "\n",
        "g = sns.clustermap(corr_matrix,row_linkage=linkage,col_linkage=linkage,row_cluster=True,\\\n",
        "                   col_cluster=True,figsize=(6,6),cmap='Greens')\n",
        "plt.setp(g.ax_heatmap.yaxis.get_majorticklabels(), rotation=0)\n",
        "plt.show()\n",
        "\n",
        "label_order = corr_matrix.iloc[:,g.dendrogram_row.reordered_ind].columns\n",
        "print(\"Correlation Strength:\")\n",
        "print(corr[corr>0.1].sort_values(ascending=False))"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x432 with 4 Axes>",
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Correlation Strength:\n",
            "f33    0.381690\n",
            "f32    0.270013\n",
            "f23    0.254039\n",
            "f42    0.224799\n",
            "f43    0.200102\n",
            "f31    0.150285\n",
            "f41    0.138319\n",
            "f22    0.111660\n",
            "dtype: float64\n"
          ]
        }
      ],
      "execution_count": 15,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "selected_features = ['f33','f23','f42','f41','f31']"
      ],
      "outputs": [],
      "execution_count": 16,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "corr_matrix = df[selected_features].corr()\n",
        "correlations_array = np.asarray(corr_matrix)\n",
        "\n",
        "linkage = hierarchy.linkage(distance.pdist(correlations_array), method='average')\n",
        "\n",
        "g = sns.clustermap(corr_matrix,row_linkage=linkage,col_linkage=linkage,row_cluster=True,\\\n",
        "                   col_cluster=True,figsize=(6,6),cmap='Greens')\n",
        "plt.setp(g.ax_heatmap.yaxis.get_majorticklabels(), rotation=0)\n",
        "plt.show()\n",
        "\n",
        "label_order = corr_matrix.iloc[:,g.dendrogram_row.reordered_ind].columns"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x432 with 4 Axes>",
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": 17,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sns\n",
        "sns.pairplot(df[selected_features],height=1.5)"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 19,
          "data": {
            "text/plain": "<seaborn.axisgrid.PairGrid at 0x17b8f869358>"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 540x540 with 30 Axes>",
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": 19,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "zscore_fxn = lambda x: (x - x.mean()) / x.std()\n",
        "features['f09'] =prices.groupby(level='Symbol').Close.apply(zscore_fxn)\n",
        "features.f09.unstack().plot.kde(title='Z-Scores (not quite accurate)')"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 22,
          "data": {
            "text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x17b9103df28>"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x288 with 1 Axes>",
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": 22,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "zscore_fun_improved = lambda x: (x - x.rolling(window=200, min_periods=20).mean())/ x.rolling(window=200, min_periods=20).std()\n",
        "features['f10'] =prices.groupby(level='Symbol').Close.apply(zscore_fun_improved)\n",
        "features.f10.unstack().plot.kde(title='Z-Scores (Correct)')"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 24,
          "data": {
            "text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x17b91148ef0>"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x288 with 1 Axes>",
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "execution_count": 24,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "rollrank_fxn = lambda x: x.rolling(200,min_periods=20).apply(lambda x: pd.Series(x).rank(pct=True)[0],raw=True)\n",
        "features['f11'] = prices.groupby(level='Symbol').Volume.apply(rollrank_fxn)"
      ],
      "outputs": [],
      "execution_count": 26,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "features['f12'] = features['f11'].dropna().groupby(level='Date').rank(pct=True)"
      ],
      "outputs": [],
      "execution_count": 29,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    }
  ],
  "metadata": {
    "kernel_info": {
      "name": "python3"
    },
    "language_info": {
      "nbconvert_exporter": "python",
      "version": "3.5.5",
      "pygments_lexer": "ipython3",
      "mimetype": "text/x-python",
      "file_extension": ".py",
      "name": "python",
      "codemirror_mode": {
        "version": 3,
        "name": "ipython"
      }
    },
    "kernelspec": {
      "name": "python3",
      "language": "python",
      "display_name": "Python 3"
    },
    "nteract": {
      "version": "0.28.0"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 4
}